2. Find the value of k if the graph of k f (x) = 2x2 +– has a point of inflection - at x = -1. Your answer

Q: 2. Sketch the graph of the function below using the maximum and minimum function value. g(x) = 2 –…

A:

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl + 3.

A: g(x)=|x|+3= f(x)+3 So, this means f(x) shifted 3 units up to make g(x).

Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x - 3.

A: Given

Q: 1.b) Describe how the graph of g(x) = (x – V2) is obtained from the graph of f (x) x3.

A:

Q: neath the graph of f(x) = 7x³ about the y-axis ov

A:

Q: Given a function Ax) and g(x) =-x+1, how would the graph of y = f(x) compare to the graph of y=…

A: Given, a function f(x) and g(x)=-x+1.

Q: Q3/ Sketch the graph of f(x) = x+1

A:

Q: The graph of y = 5f(x) is obtained by a/an _______stretch of the graph of y = f(x) by multiplying…

A:

Q: What is the area of the largest rectangle that has its base on the x-axis, its lower left corner at…

A: To find the area of the largest rectangle with given corner points.

Q: 11) Find the point of inflection of the graph of the function. f(x) = xVx – 27 %3D

A:

Q: 8. What is the vertex of the graph of the function g(x) = (x + 2)2 - 6 ?

A:

Q: How can the graph of f(x) = -(x -1 ) 2 +6 be obtained from the graph of y = x 2?

A:

Q: Find the critical points of the function f(K)-7x2-14x.

A:

Q: 22. Find the maximum or the minimum value of f(x)=-2x² –10x+5. SLO 11

A: To find the maximum and minimum values of the function

Q: How does the graph of f(x) = 2*+2 compare to the graph of g(x) = 2* + 2? The graph of f(x) is a…

A: The graph f(x) is a translation of the parent function h(x) =2x 2 units to the left Given functions…

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x+1.

A: To determine: Graph of g(x)=3x+1 using the graph of f(x)=3x

Q: 56. Explain how the graph of f(x) = mx + b can be used to solve mx + b >0.

A: The graph of fx=mx+b is a straight line with slope m and y-intercept b.

Q: Your friend claims that the graph of f (x) = (2x + 1)/x is the graph of f (x) = 1/x shifted 2 units…

A: Verify that the graph of  f1x=2x+1x is 2 units upward of the graph of  f2x=1x.  Simplify f1x=2x+1x.…

Q: 2. How does the value of k affect the graph of f(x) = (x- h) + k?

A:

Q: True or false: The graph of f(x) = (x - 2)2 + 1 opens upward._______

A: Given equation is fx=x-22+1 Given equation can be written as: fx=x-22+1=x2-4x+4+1=x2-4x+5 We know…

Q: What is the smallest value for a such that (a,0) is an x-intercept for the graph of…

A: If point a,0 is an x-intercept for the graph of fx=4x3+11x2-8x-15, then it must satisfy the…

Q: How can the graph of f(x) = -4|x| be obtained from the graph of y= Ixl?

A:

Q: 1. Sketch the graph of f(x) = -x²(2x + 5)*(x – 3)4.

A: Given f(x)=-x2 (2x+5)3 (x-3)4

Q: 2. How does the graph of f (x) =- Vx+4 – 3 differ from the graph of y = - VX?

A:

Q: 1. How does the graph of f (x) = vVx – 2 differ from the graph of y = Vx+ 3 ?]

A: The value of sqrt(x-2) is differ from the value of sqrt(x+3).

Q: 9. Find the points of inflection and discuss the concavity of the graph of the function h(x) = x(x -…

A:

Q: Find the point on the graph of f(x) = √x that is closest to the point (6, 0).

A:

Q: 2. Suppose the function f is defined as f(x): vertical asymptote(s) of f.( 6x²-8 (x-2)(x+4)' .Write…

A: As we know that; To calculate the vertical asymptotes, equate the denominator to zero and solve for…

Q: What is the multiplicity of the zero at x=-2 of the function represented by the graph?

A: Given,           The function represented by the graph is shown below :           To find : What is…

Q: 11. Sketch the graph of the following function. f(x)= x³ - 6x² - 9x [1]x- and y-intercepts

A:

Q: (x2 – 6 if x < 1 12x – 5 if x 21' 8) Graph: f(x) Must show your work by creating a table of values.

A: To draw the graph of the given function first we find the function values corresponding to some x…

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = 2lxl.

A: Solution: Consider the graph of function f(x) = x which shows in the pink color below. Now, define…

Q: Suppose (7,-2) is a point on the graph of y=f(x). What is the point that will be on the graph of…

A: Solution is given below:

Q: True or false: The graph of g(x) = √(x + 4) is the graph of f(x) = √x shifted horizontally to the…

A: we have to tell whether the given statement is true or false. Statement : The graph of g(x) = √(x +…

Q: What is the easiest way to graph f(x)=1/1+e1/x?

A: Choose the some values of x and then find the values of f(x) for corresponding x values.

Q: 1. How does the value of h affect the graph of f(x) = (x – h) + k?

A:

Q: Determine where the graph of f(x) = |x - 3| is increasing and where it is decreasing.

A: To determine: The intervals where the function f(x)=x-3is increasing and decreasing. Given…

Q: 5) The graph of the function f(x) = 4-x has an inflection point at

A: Given: fx=x4-x We know that for any function, inflection point are points where second derivative of…

Q: how can the graph of f(x)=1/(x-9)^2 + 7 be obtained from the graph of y= 1/x^2 ?

A:

Q: Fill in each blank so that the resulting statement is true.

A: Compared with the graph of fx=1x, the graph of gx=1x+2-1 is shifted 2 units ______ and 1 unit _____.

Q: 3. Determine the points in which the function shifts from increasing to decreasing and vice- versa.…

A: Let's find.

Q: Suppose (12,4) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A: Given that f(12) = 4  We will use this fact to find the answer as shown below

Q: how is the graph of g(x)=x³+2 related to the graph of f(x)=x^3

A: The graph of  x3 and x3+2 are related to each other.  Both the graphs work in same sense but graph…

Q: Consider the graphs of y1 = f(x) and y2 = f(2x + 7). Make a prediction about how these graphs are…

A:

Q: 2) The graph of the function +1, if 0 <r<5 f(x) = 3V5VT 51 if 5 <r< 10 is given in the figure below.

A: As requested, we will solve 2 (d) and 2 (e).   (d) To evaluate: limx→5msecx To do this, we first…

Q: 3. Create a graph of the function: f(x) = 3 – x Ay 543 4.

A:

Q: Suppose (1, 3) is a point on the graph of y = f(x).• What point is on the graph of y = f(x + 3) −…

A: y = f(x + 3) − 5 means y=f(x) moved 3 units left and 5 units down. (x,y) -&gt; (x-3 , y-5). So,…

Q: If f(x) = 2sin (3x), the formula to compress the graph vertically by factor 4 followed by a…

A: Definition used -    If  graph of a function f(x) compressed vertically by factor a , then new…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.